Finding the Fourth Proportional to 10,642.56, 14,686.20 and 5,927.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,642.56 : 14,686.20 = 5,927.28 : x
2. Step 2: Convert to fraction form
   10,642.56/14,686.20 = 5,927.28/x
3. Step 3: Cross multiply
   10,642.56x = 14,686.20 × 5,927.28
4. Step 4: Simplify right side
   10,642.56x = 87,049,219.54
5. Step 5: Solve for x
   x = 87,049,219.54/10,642.56
6. Step 6: Final answer
   x = 8,179.35